The axiom of choice implies that every set can be well-ordered, and given two well-ordered sets, one is isomorphic to an initial segment of the other. So ordinal numbers exist and are essentially unique. …

The meaning of ORDINAL is a book of rites for the ordination of deacons, priests, and bishops.

ORDINAL definition: 1. a number such as 1st, 2nd, 3rd, 4th, that shows the position of something in a list of things…. Learn more.

Apr 30, 2025 · Ordinal numbers show position or order, like first, second, and third. Ordinal numbers end with -nd, -rd, -st, or -th, such as 2nd, 3rd, and 1st. When using ordinal and cardinal numbers …

1. of or pertaining to an order, as of animals or plants. 2. of or pertaining to order, rank, or position in a series. n. 3. an ordinal number or numeral.

In an ordered set, that is a collection of objects placed in some order, ordinal numbers (also called ordinals) are the labels for the positions of those ordered objects.

Jul 23, 2025 · Ordinal Numbers are numbers that are used to represent position, rank or order in a sequence. They denote the position or order of an element in a sequence, such as "1st - first," "2nd - …

ORDINAL definition: of or relating to an order, as of animals or plants. See examples of ordinal used in a sentence.

Dec 3, 2025 · In common usage, an ordinal number is an adjective which describes the numerical position of an object, e.g., first, second, third, etc. In formal set theory, an ordinal number (sometimes …

At each ordinal point, she put a seal in the shape of a five-pointed star made of blue fire. For this reason, ordinal collapsing functions are described as an impredicative manner of naming ordinals. Retrieved …